(2) (z) Just to make sure as a preliminary question... if the base quantity is XB and the actual value of the quantity is X, write down the fundamental definition of Xpu- In a 3 phase balanced AC system, suppose that we have already chosen the 3 phase power base S and the line to line voltage base V. Now we choose the rest of the bases in a coordinated way. (a) What is the single phase power base SB that makes the 3 phase power and the single phase power numerically equal in per unit? (b) What is the line to neutral voltage base VB that makes the line to line voltage and the line to neutral voltage numerically equal in per unit? Show that it works. (c) What is the line current base IB that makes S = VI* work out in per unit? First give the answer expressing Ig in terms of SB and VB. Then express IB in terms of S and V. (d) What is the impedance base ZB that makes the V = ZI work out in per unit? First give the answer expressing ZB in terms of VB_and IB. Then express ZB in terms of VB and SB. Then express ZB in terms of S and V. (e) Now suppose that the per unit system above is relabeled as Sold, Vilold etc and that we also choose a new per unit system based on Sonew¸ vllnew Derive °B (B B B from first principles the formula expressing Znew in terms of Zold Soold, vlold B pu , PB s3ønew vllnew B (B
(2) (z) Just to make sure as a preliminary question... if the base quantity is XB and the actual value of the quantity is X, write down the fundamental definition of Xpu- In a 3 phase balanced AC system, suppose that we have already chosen the 3 phase power base S and the line to line voltage base V. Now we choose the rest of the bases in a coordinated way. (a) What is the single phase power base SB that makes the 3 phase power and the single phase power numerically equal in per unit? (b) What is the line to neutral voltage base VB that makes the line to line voltage and the line to neutral voltage numerically equal in per unit? Show that it works. (c) What is the line current base IB that makes S = VI* work out in per unit? First give the answer expressing Ig in terms of SB and VB. Then express IB in terms of S and V. (d) What is the impedance base ZB that makes the V = ZI work out in per unit? First give the answer expressing ZB in terms of VB_and IB. Then express ZB in terms of VB and SB. Then express ZB in terms of S and V. (e) Now suppose that the per unit system above is relabeled as Sold, Vilold etc and that we also choose a new per unit system based on Sonew¸ vllnew Derive °B (B B B from first principles the formula expressing Znew in terms of Zold Soold, vlold B pu , PB s3ønew vllnew B (B
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
![(2) (z) Just to make sure as a preliminary question... if the base quantity is XB and
the actual value of the quantity is X, write down the fundamental definition of X,mu:
In a 3 phase balanced AC system, suppose that we have already chosen the 3 phase
power base S and the line to line voltage base V. Now we choose the rest of the
bases in a coordinated way.
(a) What is the single phase power base SB that makes the 3 phase power and the
single phase power numerically equal in per unit?
(b) What is the line to neutral voltage base VB that makes the line to line voltage
and the line to neutral voltage numerically equal in per unit? Show that it works.
(c) What is the line current base IB that makes S = VI* work out in per unit?
First give the answer expressing IB in terms of SB and VB. Then express Ig in
terms of S and V.
(d) What is the impedance base ZB that makes the V = ZI work out in per unit?
First give the answer expressing ZB in terms of VB_and IB. Then express ZB in
terms of VB and SB. Then express ZB in terms of S and V.
B
(e) Now suppose that the per unit system above is relabeled as Sola, villold, etc
and that we also choose a new per unit system based on Sonew, Vlnew. Derive
from first principles the formula expressing Znew in terms of Zold Sold, vlold
s3ónew vleneuw
°B
(B
B
B
. nd,
'B
(B
'B
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb010926-0d81-478d-9736-679f94816a5d%2F02a3bf71-8280-44bb-9b20-74687bfa3d53%2Fkghznl7_processed.png&w=3840&q=75)
Transcribed Image Text:(2) (z) Just to make sure as a preliminary question... if the base quantity is XB and
the actual value of the quantity is X, write down the fundamental definition of X,mu:
In a 3 phase balanced AC system, suppose that we have already chosen the 3 phase
power base S and the line to line voltage base V. Now we choose the rest of the
bases in a coordinated way.
(a) What is the single phase power base SB that makes the 3 phase power and the
single phase power numerically equal in per unit?
(b) What is the line to neutral voltage base VB that makes the line to line voltage
and the line to neutral voltage numerically equal in per unit? Show that it works.
(c) What is the line current base IB that makes S = VI* work out in per unit?
First give the answer expressing IB in terms of SB and VB. Then express Ig in
terms of S and V.
(d) What is the impedance base ZB that makes the V = ZI work out in per unit?
First give the answer expressing ZB in terms of VB_and IB. Then express ZB in
terms of VB and SB. Then express ZB in terms of S and V.
B
(e) Now suppose that the per unit system above is relabeled as Sola, villold, etc
and that we also choose a new per unit system based on Sonew, Vlnew. Derive
from first principles the formula expressing Znew in terms of Zold Sold, vlold
s3ónew vleneuw
°B
(B
B
B
. nd,
'B
(B
'B
B
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